@article {IOPORT.00635850, author = {Culberson, Joseph C. and Reckhow, Robert A.}, title = {Covering polygons is hard.}, year = {1994}, journal = {Journal of Algorithms}, volume = {17}, number = {1}, issn = {0196-6774}, pages = {2-44}, publisher = {Elsevier, San Diego, CA}, doi = {10.1006/jagm.1994.1025}, abstract = {Summary: We show the following for polygons without holes: 1) covering the interior or boundary of an arbitrary polygon with convex polygons is NP- hard; 2) covering the vertices of an arbitrary polygon with convex polygons is NP-complete; 3) covering the interior or boundary of an orthogonal polygon with rectangles is NP-complete. We note that these result hold even if the polygons are required to be in general position.}, identifier = {00635850}, }